Factorization of polynomials over finite fields

Results: 34



#Item
21Finite fields / Binomial coefficient / Combinatorics / Coding theory / Euclidean algorithm / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Abstract algebra / Polynomials

On the linear complexity of Sidel’nikov Sequences over nonprime fields Nina Brandst¨atter a , Wilfried Meidl b a Johann Radon Institute for Computational and Applied Mathematics, Austrian

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Source URL: research.sabanciuniv.edu

Language: English - Date: 2008-06-03 16:50:30
22Finite fields / Logarithms / Cryptography / Group theory / Polynomials / Euclidean algorithm / Discrete logarithm / Factorization of polynomials over a finite field and irreducibility tests / Cantor–Zassenhaus algorithm / Abstract algebra / Mathematics / Algebra

COMPUTING DISCRETE LOGARITHMS IN F36·137 AND F36·163 USING MAGMA GORA ADJ, ALFRED MENEZES, THOMAZ OLIVEIRA, AND FRANCISCO RODR´IGUEZ-HENR´IQUEZ Abstract. We show that a Magma implementation of Joux’s new L[1/4] alg

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Source URL: cacr.uwaterloo.ca

Language: English - Date: 2014-02-26 21:38:13
23Computer algebra / Abstract algebra / Irreducible polynomial / Finite fields / Factorization of polynomials over a finite field and irreducibility tests / Factorization of polynomials / Mathematics / Polynomials / Algebra

Course Description for Spring 2003 Course Title: Math 788G: The Theory of Irreducible Polynomials II Instructor: Michael Filaseta Prerequisites: Graduate Standing (no prior Number Theory course is necessary; background m

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Source URL: www.math.sc.edu

Language: English - Date: 2002-08-28 10:37:15
24Polynomials / Coding theory / Field theory / Finite fields / Factorization of polynomials over a finite field and irreducibility tests / Partial fraction / Abstract algebra / Mathematics / Algebra

A-138 A.2 Polynomial Algebra over Fields

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Source URL: www.mth.msu.edu

Language: English - Date: 2012-08-31 11:04:32
25Polynomials / Coding theory / Information theory / Finite fields / Factorization of polynomials over a finite field and irreducibility tests / Anatolii Alexeevitch Karatsuba / Mathematics / Algebra / Linear algebra

DEPARTMENT OF MATHEMATICS & STATISTICS FACULTY OF ARTS AND SCIENCE QUEEN’S UNIVERSITY Advice for students entering second-year in 2014–15

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Source URL: www.mast.queensu.ca

Language: English - Date: 2014-03-19 14:06:40
26Sieve theory / Exponentials / Exponentiation / Finite fields / Information theory / Jurkat–Richert theorem / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Abstract algebra / Mathematical analysis

([removed], 9h26) Products of ratios of consecutive integers R´egis de la Bret`eche, Carl Pomerance & G´erald Tenenbaum For Jean-Louis Nicolas, on his sixtieth birthday

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-09-22 15:40:20
27Polynomials / Discriminant / Monic polynomial / Finite field / Resultant / Étale cohomology / Factorization of polynomials over a finite field and irreducibility tests / Algebra / Abstract algebra / Mathematics

Problems for Arizona Winter School 2014: Distribution of discriminants of polynomials over finite fields Jordan S. Ellenberg 1 Feb[removed]In the lectures, we discuss the relationship between questions about probability di

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Source URL: swc.math.arizona.edu

Language: English - Date: 2014-02-06 03:03:23
28Computational science / Cryptography / Coding theory / Public-key cryptography / Factorization of polynomials over a finite field and irreducibility tests / Lenstra elliptic curve factorization / Mathematics / Euclidean algorithm / Finite fields

CS255: Introduction to Cryptography Winter 2014 Assignment #3: Solutions Answer 1.

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Source URL: crypto.stanford.edu

Language: English - Date: 2014-03-18 01:08:22
29Polynomials / Field theory / Minimal polynomial / Combinatorics / Fourier analysis / Factorization of polynomials over a finite field and irreducibility tests / Normal distribution / Mathematics / Algebra / Abstract algebra

Multiplicative complexity of polynomial multiplication over finite fields* Michael Kaminski and Nader H. Bshouty

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Source URL: www.cs.technion.ac.il

Language: English - Date: 2004-02-23 08:16:01
30Field theory / Splitting field / Fundamental theorem of algebra / Ordered field / Field / Fundamental theorem of Galois theory / Real closed field / Factorization of polynomials over a finite field and irreducibility tests / Partial fraction / Abstract algebra / Algebra / Mathematics

Notes on real-closed fields These notes develop the algebraic background needed to understand the model theory of real-closed fields. To understand these notes, a standard graduate course in algebra is

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Source URL: euclid.colorado.edu

Language: English - Date: 2013-04-05 17:28:46
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